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Sensitivity analysis as a means of reducing the dimensionality of a certain class of transportation problems

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  • Jacob Intrator
  • Abraham Engelberg

Abstract

Sensitivity analysis of the transportation problem is developed in a way which enables reducing the dimensionality of the associated tableau. This technique is used to reduce the dimensionality of a transportation problem whose origin requirements are relatively small at the majority of origins. A long transportation problem, for which efficient solution procedures exist, results. A second application relates to the location‐allocation problem. Reducing the dimensionality of such a problem, accompanied by the partial determination of the optimal solution, should prove helpful in the quest for an analytic solution to the aforementioned problem. In the meantime, reducing dimensionality greatly decreases the effort involved in solution by trial and error. Examples of the two applications are provided.

Suggested Citation

  • Jacob Intrator & Abraham Engelberg, 1980. "Sensitivity analysis as a means of reducing the dimensionality of a certain class of transportation problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 27(2), pages 297-313, June.
    • Handle: RePEc:wly:navlog:v:27:y:1980:i:2:p:297-313
    DOI: 10.1002/nav.3800270213
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